Journal of Cosmology, Filaments and Astrobiology

This review investigates the potential of non-orientable topology as a fundamental framework for understanding the Poincaré conjecture and its implications across various scientific disciplines. Integrating insights from Dokuchaev (2020), Rapoport, Christianto, Chandra, Smarandache (under review), and other pioneering works, this article explores the theoretical foundations linking non-orientable spaces to resolving the Poincaré conjecture and its broader implications in theoretical physics, geology, cosmology, and biology.

In the well-known Aharonov-Bohm effect, a charged particle experiences a phase shift as it moves through a region of space where the magnetic field is zero. The presence of a magnetic flux in the area, which influences the wave function of the particle, results in this phase shift. The Aharonov-type interaction, in which the phase shift is caused by a topological flaw in the system, such as a spin texture or a Berry phase, rather than a magnetic field, has attracted increasing interest in recent years. In this regards, in a recent paper, we argued in favour of Gross-Pitaevskii model as a more complete description of both solar system and spiral galaxies, especially taking into account the nature of chirality and vortices in galaxies (see Prespacetime J, 2021, & SMIC, 2020). In this paper, we will discuss shortly a nonlinear cosmology model inspired by analogy between cosmology phenomena and low temperature physics, especially via superconductor / superfluid vortices dynamics. We described: (a) a nonlinear cosmology model based on Navier-Stokes turbulence equations, which then they are connected to superfluid turbulence, and (b) the superfluid turbulence can lead to superfluid quantized vortices, which can be viewed as large scale version of Bohr’s quantization rule, and (c) this superfluid quantized vortice interpretation of Bohr’s rule allow us to predict quantization of planetary orbits in solar system including new possible orbits beyond Pluto. In more specific way. we apply the new model based on Bogoliubov-de Gennes equation correspondence with Bohr-Sommerfeld quantization rules. Then we put forth an argument that from Bohr-Sommerfeld quantization rules we can come up with a model of quantized orbits of planets in our solar system, be it for inner planets and also for Jovian planets. In effect we also tried to explain Sedna’s orbit in the same scheme.

  Below is a summary of  communication with Dr Jean de Climont a number of weeks ago, as he wrote as follows: “Einstein began his famous 1905 paper by stating that a moving magnet has an electric field around it, in addition to its magnetic field. This is in line with the interpretation of the Faraday's experiment by Maxwell in the Maxwell-Faraday equation. But, this electric field should deviate a cathode ray in addition to the deviation resulting from the magnetic field of a moving magnet. Such an additional deviation has never been observed.”  

It is known, despite special theory of relativity has been widely accepted, in our recent draft submitted to this journal it is shown that some experiments have been carried out suggesting superluminal wave propagation, which make Minkowski lightcone not valid anymore. Therefore, it seems worth to reconsider the connection between elastic wave and electromagnetic wave equations, as in their early development. In this paper we will start with Maxwell-Dirac isomorphism, then we will find its connection with elastic wave equations.